Question

Area of a sector of central angle is 120° of a circle is 3 pie cm ^2.then the length of the corresponding arc of the sector is?

Answer 1

Step-by-step explanation:

area of sector = (πr²× Θ) / 360

area = 3π , θ = 120, r = ? L = ?

3π = (πr²×120) / 360

=> 3 π = π r²/ 3

=> 9 = r² [ π cancels out on both sides ]

=> r = 3 cm

now, L = r Θ [ Θ in radians ]

L = 3 × 120 × π/360

L = 3 × π/3

L = π = 3.14 cm